114935520 has 192 divisors, whose sum is σ = 419973120. Its totient is φ = 25878528.

The previous prime is 114935489. The next prime is 114935549. The reversal of 114935520 is 25539411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265224 + ... + 265656.

It is an arithmetic number, because the mean of its divisors is an integer number (2187360).

Almost surely, 2^114935520 is an apocalyptic number.

114935520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114935520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

114935520 is an abundant number, since it is smaller than the sum of its proper divisors (305037600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114935520 is a wasteful number, since it uses less digits than its factorization.

114935520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 114935520 is about 10720.7984777254. The cubic root of 114935520 is about 486.2035083963.

The spelling of 114935520 in words is "one hundred fourteen million, nine hundred thirty-five thousand, five hundred twenty".